5139635200 has 528 divisors, whose sum is σ = 16082542080. Its totient is φ = 1589575680.

The previous prime is 5139635159. The next prime is 5139635209. The reversal of 5139635200 is 25369315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5139635209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119526379 + ... + 119526421.

It is an arithmetic number, because the mean of its divisors is an integer number (30459360).

Almost surely, 2^5139635200 is an apocalyptic number.

5139635200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5139635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041271040).

5139635200 is an abundant number, since it is smaller than the sum of its proper divisors (10942906880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5139635200 is a wasteful number, since it uses less digits than its factorization.

5139635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The square root of 5139635200 is about 71691.2491173086. The cubic root of 5139635200 is about 1725.7482100423.

The spelling of 5139635200 in words is "five billion, one hundred thirty-nine million, six hundred thirty-five thousand, two hundred".